LogarithmicHeight on DyckPath
The floor of the binary logarithm of the height plus one.
Called as CombinatorialStat(x, "LogarithmicHeight"). The head's page has its examples.
Live
Distribution
Over DyckPaths at each size, tallied here in your browser; sizes past 10 are not offered.
FindStat St000920
The logarithmic height of a Dyck path.
| Object | Value |
|---|---|
[] | 0 |
[1,0] | 1 |
[1,0,1,0] | 1 |
[1,1,0,0] | 1 |
[1,0,1,0,1,0] | 1 |
[1,0,1,1,0,0] | 1 |
[1,1,0,0,1,0] | 1 |
[1,1,0,1,0,0] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000920 has the rest.